Generalized left-localized Cayley parametrization for optimization with orthogonality constraints

K Kume, I Yamada - Optimization, 2024 - Taylor & Francis
We present a reformulation of optimization problems over the Stiefel manifold by using a
Cayley-type transform, named the generalized left-localized Cayley transform, for the Stiefel …

Adaptive localized Cayley parametrization for optimization over Stiefel manifold

K Kume, I Yamada - arXiv preprint arXiv:2305.17901, 2023 - arxiv.org
We present an adaptive parametrization strategy for optimization problems over the Stiefel
manifold by using generalized Cayley transforms to utilize powerful Euclidean optimization …

Adaptive Localized Cayley Parametrization for Optimization Over Stiefel Manifold and Its Convergence Rate Analysis

K Kume, I Yamada - IEEE Access, 2024 - ieeexplore.ieee.org
The Adaptive Localized Cayley Parametrization (ALCP) strategy for orthogonality
constrained optimization has been proposed as a scheme to utilize Euclidean optimization …

A global Cayley parametrization of Stiefel manifold for direct utilization of optimization mechanisms over vector spaces

K Kume, I Yamada - ICASSP 2021-2021 IEEE International …, 2021 - ieeexplore.ieee.org
Optimization problem with orthogonality constraints, whose feasible region is called the
Stiefel manifold, has rich applications in data sciences. The severe non-linearity of the …

Adaptive techniques in compressed sensing based direction of arrival estimation

B Kılıç - 2021 - search.proquest.com
Direction of arrival (DOA) estimation is an important research area having exten-sive
applications including radar, sonar, wireless communications, and electronic warfare …